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We have recently completed the one loop calculation of meson-meson scattering within Chiral Perturbation Theory. Once unitarized, these amplitudes provide simultaneously a remarkable description of the resonance region up to 1.2 GeV as well…

High Energy Physics - Phenomenology · Physics 2009-11-10 J. R. Pelaez

We present a novel analysis of the $\pi N$ scattering amplitude in Lorentz covariant baryon chiral perturbation theory renormalized in the extended-on-mass-shell scheme. This amplitude, valid up to $\mathcal{O}(p^3)$ in the chiral…

High Energy Physics - Phenomenology · Physics 2015-05-30 J. M. Alarcon , J. Martin Camalich , J. A. Oller

A simple gauged linear sigma model with several parameters to take the symmetry breaking and the mass differences between the vector meson and the axial vector meson into account is considered here as a possibly useful template for the role…

High Energy Physics - Phenomenology · Physics 2015-05-13 Amir H. Fariborz , N. W. Park , Joseph Schechter , M. Naeem Shahid

In the large $N_c$ approximation to $QCD$, the leading $\pp$ scattering amplitude is expressed as the sum of an infinite number of tree diagrams. We investigate the possibility that an adequate approximation at energies up to somewhat more…

High Energy Physics - Phenomenology · Physics 2009-10-28 F. Sannino , J. Schechter

By means of a coupled channel non-perturbative unitary approach, it is possible to extend the strong constrains of Chiral Perturbation Theory to higher energies. In particular, it is possible to reproduce the lowest lying resonances in…

Nuclear Theory · Physics 2011-04-15 E. Oset , E. Marco , J. C. Nacher , J. A. Oller , J. R. Pelaez , A. Ramos , H. Toki

The next-to-leading order chiral pion-nucleon Lagrangian contains seven finite low-energy constants. Two can be fixed from the nucleon anomalous magnetic moments and another one from the quark mass contribution to the neutron-proton mass…

High Energy Physics - Phenomenology · Physics 2016-09-06 V. Bernard , N. Kaiser , Ulf-G. Meißner

Hadron-hadron scattering lengths are fine probes of our understanding of nonperturbative QCD. I discuss the status of a variety of scattering processes sensitive to the spontaneous and explicit chiral symmetry breaking of QCD, such as…

High Energy Physics - Phenomenology · Physics 2013-07-04 Ulf-G. Meißner

We use the chiral effective field theory to study the lattice finite-volume energy levels from the meson-meson scattering. The hadron resonance properties and the scattering amplitudes at physical masses are determined from the lattice…

High Energy Physics - Lattice · Physics 2018-11-15 Zhi-Hui Guo , Liuming Liu , Ulf-G. Meissner , J. A. Oller , A. Rusetsky

An effective Lagrangian for the light quark in the field of a static source is derived systematically using the exact field correlator expansion. The lowest Gaussian term is bosonized using nonlocal colorless bosonic fields and a general…

High Energy Physics - Phenomenology · Physics 2014-11-17 Yu. A. Simonov

We evaluate the isospin breaking corrections to the scattering amplitude \pi^- K^+ -> \pi^- K^+ at threshold in the framework of chiral perturbation theory. This channel is of particular interest for the strong 2S-2P energy level shift in…

High Energy Physics - Phenomenology · Physics 2009-11-07 Bastian Kubis , Ulf-G. Meißner

The $s-$wave meson-baryon scattering is analyzed for the strangeness $S=-1$ and isospin I=0 sector in a Bethe-Salpeter coupled channel formalism incorporating Chiral Symmetry. Four channels have been considered: $\pi \Sigma$, $\bar K N$,…

High Energy Physics - Phenomenology · Physics 2008-11-26 C. Garcia-Recio , J. Nieves , E. Ruiz Arriola , M. J. Vicente Vacas

Recent developments in the evaluation of vector-meson spectral functions in hot and dense matter are discussed with emphasis on connections to the chiral phase transition in QCD. Model independent approaches including chiral low-density…

High Energy Physics - Phenomenology · Physics 2015-05-13 R. Rapp , J. Wambach , H. van Hees

Chiral perturbation theory and its unitarized versions have played an important role in our understanding of the low-energy strong interaction. Yet, so far, such studies typically deal exclusively with perturbative or nonperturbative…

High Energy Physics - Phenomenology · Physics 2023-03-01 Jun-Xu Lu , Li-Sheng Geng , Michael Doering , Maxim Mai

Studies on hadron interactions from lattice QCD are reviewed. The $S$-wave $\pi\pi$ scattering lengths of the I=0 and I=2 channels are extracted from various lattice determinations of low energy constants in $N_f=2$ chiral perturbation…

High Energy Physics - Lattice · Physics 2009-04-14 Sinya Aoki

Recent developments in low energy pion physics are reviewed, emphasizing the strength of dispersion theory in this context. As an illustration of the method, I discuss some consequences of the forward dispersion relation obeyed by the…

High Energy Physics - Phenomenology · Physics 2008-11-26 H. Leutwyler

Elastic $I=1/2$, $s$- and $p$-wave $K\pi$ scattering amplitudes are simultaneously calculated using a L\"uscher style analysis on a single ensemble of dynamical Wilson-clover fermions at $m_\pi \sim 230$ MeV. Partial wave mixing due to the…

High Energy Physics - Lattice · Physics 2019-02-22 Ruairí Brett , John Bulava , Jacob Fallica , Andrew Hanlon , Ben Hörz , Colin Morningstar

We review our analysis of $\pi K$ scattering using forward dispersion relations. The method yields a set of simple parameterizations that are compatible with forward dispersion relations up to 1.6 GeV while still describing the data. Once…

High Energy Physics - Phenomenology · Physics 2017-07-17 A. Rodas

When the isospin chemical potential exceeds the pion mass, charged pions condense in the zero-momentum state forming a superfluid. Chiral perturbation theory provides a very powerful tool for studying this phase. However, the formalism that…

High Energy Physics - Phenomenology · Physics 2017-02-28 Stefano Carignano , Luca Lepori , Andrea Mammarella , Massimo Mannarelli , Giulia Pagliaroli

The low-energy chiral effective field theory of vector mesons and Goldstone bosons in external gravitational field is considered. The energy-momentum tensor is obtained and the gravitational form factors of the $\rho$-meson are calculated…

High Energy Physics - Phenomenology · Physics 2022-02-03 E. Epelbaum , J. Gegelia , U. -G. Meißner , M. V. Polyakov

We present preliminary results for the chiral behavior of charged pseudo-Goldstone-boson masses and decay constants. These are obtained in simulations with N_f=2+1 flavors of tree-level, O(a)-improved Wilson sea quarks. In these…

High Energy Physics - Lattice · Physics 2009-04-14 S. Durr , Z. Fodor , C. Hoelbling , S. D. Katz , S. Krieg , Th. Kurth , L. Lellouch , Th. Lippert , K. K. Szabo , G. Vulvert